Details

Time bar (total: 1.4s)

analyze46.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
18.7%56.2%25.1%5
28.1%34.3%37.6%6
34.3%28.1%37.6%7
39%17.2%43.8%8
41%13.7%45.4%9
43.1%8.4%48.5%10
44%6.7%49.3%11
45%4.1%50.8%12
45.4%3.3%51.2%13
45.9%2.1%52%14

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms7×body80nan
0.0ms2×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02258
12258

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

simplify40.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04928360
14928360

prune63.0ms

Filtered
32 candidates to 42 candidates (-31.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37542
Fresh000
Picked011
Done000
Total37643

Merged error: 0.0b

Counts
43 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b
(* y (sqrt (sqrt x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
6.0ms
(* y (sqrt (sqrt x)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
6.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
10.0ms
(* y (sqrt (sqrt x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05020626

prune93.0ms

Filtered
58 candidates to 100 candidates (-72.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh134
Picked101
Done011
Total1006106

Merged error: 0b

Counts
106 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b
(sqrt (sqrt x))
0.3b
(* (* y (sqrt (sqrt x))) (pow x 1/4))
0.3b
(* y (sqrt (sqrt x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp sum-log *-commutative
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log pow-prod-down flip-+ sqr-pow
Counts
4 → 83
Calls
4 calls:
7.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms
(sqrt (sqrt x))
8.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))
6.0ms
(* y (sqrt (sqrt x)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
14.0ms
(sqrt (sqrt x))
12.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))
10.0ms
(* y (sqrt (sqrt x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04894905
14894905

prune113.0ms

Filtered
61 candidates to 95 candidates (-55.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh134
Picked011
Done011
Total956101

Merged error: 0b

Counts
101 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow x 1/4)))
0.3b
(* (* y (pow x 1/4)) (pow x 1/4))
0.3b
(* y (pow x 1/4))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
24×prod-exp
14×associate-*r*
13×add-sqr-sqrt
10×add-cbrt-cube
8×pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp add-log-exp
7×unpow-prod-down
4×associate-*l* cbrt-unprod
3×pow1 unswap-sqr sqr-pow
2×sum-log *-commutative
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log flip-+
Counts
3 → 69
Calls
3 calls:
8.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow x 1/4)))
6.0ms
(* (* y (pow x 1/4)) (pow x 1/4))
5.0ms
(* y (pow x 1/4))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow x 1/4)))
7.0ms
(* (* y (pow x 1/4)) (pow x 1/4))
12.0ms
(* y (pow x 1/4))

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04940610
14940610

prune83.0ms

Filtered
48 candidates to 78 candidates (-62.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh123
Picked011
Done022
Total78684

Merged error: 0b

Counts
84 → 6

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0198
1198

end0.0ms

sample373.0ms

Algorithm
intervals
Results
231.0ms7998×body80valid
6.0ms151×body80nan
2.0ms72×body80invalid
0.0ms1×body1280valid
0.0ms1×body320valid

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